Quick Scoop: In Gakuran, the different fight styles you can roll from the style menu are boxing, Muay Thai, and Hakari, and the style reroll costs 5 Robux.

How to get styles

A recent gameplay clip shows that you can view your style in the stats menu, then reroll it there with Robux.

The styles mentioned in that clip are boxing, Muay Thai, and Hakari.

What players are saying

From the available public info, the main way people get a different fight style is simply by rerolling the style in-game rather than earning it through a long quest chain.

That makes it more of a random roll system than a location-based unlock system.

Fastest approach

  1. Open your stats menu.
  1. Check your current style.
  1. Spend 5 Robux to reroll it.
  1. Keep rerolling until you land the style you want.

Note

Some search results about “fight styles” were for other Roblox games, so they do not match Gakuran and should be ignored for this question.

TL;DR: In Gakuran, different fight styles appear to be obtained by rerolling your style in the stats menu for 5 Robux, with boxing, Muay Thai, and Hakari shown as possible outcomes.